The Food and Drug Administration wishes to determine whether the claim that Vitamin C prevents colds has any truth. In a clinical drug trial, 30 subjects were randomly assigned to either the Vitamin C group (receiving a daily supplement of the minimum daily requirement) or the placebo group (who received no supplement but did get a placebo pill). The number of self-reported colds is recorded after 3 years.$\begin{array}{cc}
\text { Vitamin C } & \text { Placebo } \
\hline 3 & 8 \
8 & 8 \
6 & 7 \
7 & 10 \
4 & 11 \
9 & 4\2 & 3 \
5 & 7 \
7 & 6 \
11 & 8 \
10 & 4 \
8 & 10 \
7 & 6 \
6 & 8 \
7 & 5\\hline
\end{array}$
-What can be concluded from the statistical analysis of this problem?

Question

Quizplus · Accepted Answer

The data provided does not show a significant difference in the number of colds between the Vitamin C group and the placebo group, indicating that Vitamin C does not prevent colds any better than a placebo. This leads to the conclusion that the null hypothesis (which would typically state that there is no difference between the groups) cannot be rejected, and thus, the mean number of colds is not significantly different between the two groups.

The Food and Drug Administration Wishes to Determine Whether the Claim